Now showing items 21-40 of 79

• #### CÀLCUL NUMÈRIC ﻿

(Universitat Politècnica de Catalunya, 2011-10-25)
Exam
• #### CÀLCUL NUMÈRIC ﻿

(Universitat Politècnica de Catalunya, 2011-10-25)
Exam
• #### Càlcul numèric : manual de pràctiques ﻿

(Universitat Politècnica de Catalunya, 2014)
Practice
Open Access
• #### Càlcul numèric. Manual de pràctiques ﻿

(2014-07)
External research report
Open Access
• #### Central configurations of the planar coorbial satellite problem ﻿

(2004-10)
Article
Open Access
We study the planar central configurations of the 1 +n body problem where one mass is large and the other n masses are infinitesimal and equal. We find analytically all these central configurations when 2=n=4. Numerically, ...
• #### Central configurations of the planar coorbital satellite problem ﻿

(2003)
Article
Open Access
We study the planar central conﬁgurations of the 1 + n body problem where one mass is large and the other n masses are inﬁnitesimal and equal. We ﬁnd analytically all these central conﬁgurations when 2 ≤ n ≤ 4. Numerically, ...
• #### Confinement around the Vertical Family of Periodic Orbits close L<sub>4</sub> and L<sub>5</sub> ﻿

(2001)
Article
Open Access
We consider the spatial restricted three body problem (RTBP) for values of the mass parameter close to µRouth. We analyse the dynamics around the vertical periodic orbits which are born at the equilateral equilibrium ...
• #### Dinàmica de varietats espacials: les autopistes de l’univers ﻿

(2019-12-20)
Article
Open Access
En aquest article volem il.lustrar com la comprensió de la dinàmica d’alguns models de la mecànica celeste permet explicar alguns fenòmens astronòmics i dissenyar missions realistes a l’espai. El model paradigmàtic usat ...
• #### Dynamical aspects of multi-round horseshoe-shaped homoclinic orbits in the RTBP ﻿

(2009-11)
Article
Restricted access - publisher's policy
We consider the planar restricted three-body problem and the collinear equilibrium point L3, as an example of a center×saddle equilibrium point in a Hamiltonian with two degrees of freedom.We explore numerically the ...
• #### Dynamics and bifurcation near the transition from stability to complex instability ﻿

(2001)
Article
Open Access
• #### Dynamics and bifurcation near the transition from stability to complex instability: an analytical approach using normal forms ﻿

(1998)
Article
Open Access
We consider a Hamiltonian of three degrees of freedom and a family of periodic orbits with a transition from stability to complex instability, such that there is an irrational collision of the Floquet eigenvalues of opposite ...
• #### Dynamics close to a non semi-simple 1: -1 resonant periodic orbit. ﻿

(2003)
Article
Open Access
In this work, our target is to analyze the dynamics around the $1:-1$ resonance which appears when a family of periodic orbits of a real analytic three-degree of freedom Hamiltonian system changes its stability from ...
• #### Dynamics of the parabolic restricted three-body problem ﻿

(2015-12-01)
Article
Open Access
The main purpose of the paper is the study of the motion of a massless body attracted, under the Newton's law of gravitation, by two equal masses moving in parabolic orbits all over in the same plane, the planar parabolic ...
• #### Ejection-collision orbits in the Restricted three-body problem ﻿

(2018-02)
Article
Open Access
In this paper we analyse the ejection-collision (EC) orbits of the planar restricted three body problem. Being µ¿¿¿(0, 0.5] the mass parameter, and taking the big (small) primary with mass (µ), an EC orbit will be an orbit ...
• #### Ejection-collision orbits in the symmetric collinear four–body problem ﻿

(2019-06-15)
Article
Open Access
In this paper, we consider the collinear symmetric four-body problem, where four masses and a¿>¿0, are aligned in this order and move symmetrically about their center of mass. We introduce regularized variables to deal ...
• #### Fast numerical computation of Lissajous and quasi-halo libration point trajectories ﻿

(2012)
Conference report
Open Access
In this paper we present a methodology for the automatic generation of quasi–periodic libration point trajectories (Lissajous and quasi–halo) of the Spatial, Circular Restricted Three–Body Problem. This methodology is ...
• #### HAmsys 2014 ﻿

(2014)
Conference report
Restricted access - publisher's policy
In this talk we give an explanation of transport in the solar system based in dynamical systems theory. More concretely we consider (as a first approximation) different bicircular problems (i.e. Sun, Jupiter, a planet ...
• #### Hopf bifurcation for the hydrogen atom in a circularly polarized microwave field ﻿

(2018-09-01)
Article
Open Access
We consider the Rydberg electron in a circularly polarized microwave field, whose dynamics is described by a Hamiltonian depending on one parameter, K¿>¿0. The corresponding Hamiltonian system of ODE has two equilibrium ...
• #### Horseshoe motion in the Restricted three-body problem ﻿

(2005-09)
Article
Open Access
• #### Horseshoe periodic orbits for saturn coorbital satellites ﻿

(2000)
Article
Open Access
We consider the motion of coorbital satellites in the framework of the Restricted Three-Body problem for u=6.5*10^(-9). We show a mechanism to generate horsehoe periodic orbits and we compute some families of horseshoe ...